Selected Chapters on Nonequilibrium Statistical Physics I - NTMF062
|
|
|
||
Last update: prof. RNDr. Jiří Podolský, CSc., DSc. (29.04.2019)
|
|
||
Last update: doc. RNDr. Karel Houfek, Ph.D. (11.06.2019)
Ústní zkouška |
|
||
Last update: RNDr. Karel Netočný, Ph.D. (12.05.2011)
C. Maes, K. Netočný, and B. Shergelashvili: A selection of nonequilibrium issues , Lecture notes in Mathematics 1970 (2009) 247-306. http://www.fzu.cz/~netocny/Documents/PrahaLN.pdf.
D. Chandler: Introduction to Modern Statistical Mechanics (Oxford University Press, 1978), Chapter 8.
|
|
||
Last update: RNDr. Karel Netočný, Ph.D. (13.10.2017)
The exam is oral. The requirements correspond to the syllabus of the subject in the scope that was presented at the lecture. |
|
||
Last update: RNDr. Karel Netočný, Ph.D. (12.05.2011)
Boltzmann equation for rarefied gas; H-theorem; Zermelo-Poincare and Loschmidt paradoxes; Kac model; macroscopic autonomy; Onsager-Machlup symmetry and thermodynamic arrow of time. Stochastic dynamics Formal construction of reduced dynamics from mechanical equations; detailed balance and the time-reversal symmetry; Markov jump processes; Kolmogorov generator and its spectral properties; path distribution. Systems coupled to heat bath Relaxation and thermodynamic processes; entropy production; minimal work principle, statistical distributions for work and heat; Jarzynski equation, quasistatic ("adiabatic") limit; fluctuation-dissipation theorem; Onsager regression hypothesis. Non-equilibrium stochastic processes Systems interacting with more baths; local detailed balance principle; entropy production as a measure of the time-reversal symmetry breaking; thermodynamic formalism for stationary fluctuations; Gallavotti-Cohen fluctuation symmetry; perturbative calculation of current cumulants. Thermodynamics of weakly non-equilibrium systems Green-Kubo linear response relations; Onsager reciprocities; McLennan stationary ensemble; minimum entropy production principle; time-symmetric fluctuations. Diffusion processes Diffusion limit of random walk; continuous Markov processes; overdamped and underdamped diffusion, Johnson-Nyquist noise; Onsager-Machlup theory of dynamical fluctuations. |